The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
A Modification of Davidon's Minimization Method to Accept Difference Approximations of Derivatives
Open accessAbstract
A modification of Davidon's method for the unconstrained minimization of a function of several variables is proposed in which the gradient vector is approximated by differences. The step sizes for the differencing are calculated from information available in the course of the minimization and are chosen to approximately balance off the effects of truncation error and cancellation error. Numerical results and comparisons with other methods are given.
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Citations
Cites
Powell, M. J. D. (1964) · The Computer Journal · doi:10.1093/comjnl/7.2.155 · Cited by 4,632
Cited by
Superlinearly convergent variable metric algorithms for general nonlinear programming problems
Han, S.-P. (1976) · Mathematical Programming · doi:10.1007/bf01580395 · Cited by 477
Dud, A Derivative-Free Algorithm for Nonlinear Least Squares
Ralston, M. L., & Jennrich, R. I. (1978) · Technometrics · doi:10.1080/00401706.1978.10489610 · Cited by 364
Algorithm 611: Subroutines for Unconstrained Minimization Using a Model/Trust-Region Approach
Gay, D. M. (1983) · ACM Transactions on Mathematical Software · doi:10.1145/356056.356066 · Cited by 322
Metadata
- Authors
- Stewart, G. W.
- Venue
- Journal of the ACM
- Published
- 1967-01
- Volume
- 14
- Issue
- 1
- Pages
- 72-83
- ISSN
- 0004-5411 (ISSN-L)
- 1557-735X
- OpenAlex
- W1994038822
- Cited by
- 203
- References
- 1
- FWCI
- 6.56
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Stewart, G. W. (1967). A Modification of Davidon's Minimization Method to Accept Difference Approximations of Derivatives. Journal of the ACM. https://doi.org/10.1145/321371.321377
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